1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
quester [9]
3 years ago
13

Solve by completing the square x^2-6x-16=0

Mathematics
2 answers:
Greeley [361]3 years ago
7 0

Answer:

x = 8 or

x = -2

Step-by-step explanation:

<h2><em>Completing The Square</em><em>:</em></h2>

x² - 6x - 16 = 0

Here,

a = 1

b = -6

c = -16

Now,

x² - 6x + [6/2(1)]² - [6/2(1)]² - 16 = 0

x² - 6x + (6/2)² - (6/2)² - 16 = 0

x² - 6x + (3)² - (3)² - 16 = 0

(x - 3)² - 9 - 16 = 0

(x - 3)² - 25 = 0

(x - 3)² = 25

x - 3 = +-√25

x - 3 = +- 5

x = 3 +- 5

x = 3 + 5 or x = 3 - 5

<em><u>x = 8 or x = -2</u></em>

Hope it's helpful

Elan Coil [88]3 years ago
3 0

Answer:

Step-by-step explanation:

You might be interested in
Is each fraction in simples form? Write yes or no 2/4
shusha [124]
Hey there! :D

When a fraction is still divisible by a number, then it is not in it's simplest form. 

For example, 3/6. 

I know for a fact that 6/3=2 <== 3 is also divisible by itself. 

3/6 (3/3=1) (6/6=1) 

1/2 <== simplest form. 

Try the same with 2/4. 

4 is divisible by 2. 

4/2= 2

2/2=1

1/2 is the simplest form. 

I hope this helps!
~kaikers
8 0
3 years ago
Read 2 more answers
Math geometry please help me.
Orlov [11]

Answer:

Yes

Step-by-step explanation:

It passes the vertical line test.

if you draw vertical lines, it should hit the function only once, if it hits coordinates with the same x value (for example, (1,2) and (1,3)), it is not a function.

In the graph, each x value is only hit once.

8 0
3 years ago
Read 2 more answers
Which ordered pair represents the y-intercept of the graph of the equation y = -5x + 6?
Sonja [21]

The answer is A (0,6)


3 0
3 years ago
Read 2 more answers
Factoring quadratic with a common factor Factor completely 2x^2-18x+36
rodikova [14]

Answer:

2 {x}^{2}  - 18x + 36 \\ 2 {x}^{2}  - 12x - 6x + 36 \\ 2 x(x - 6) - 6(x - 6) \\ (2x - 6)(x - 6)

6 0
3 years ago
if Lydia buys 1/2 pound of the Breakfast Tea and 2 pounds of the Dark Roast coffee, how many 1- pound bags of Pumpkin Spice coff
const2013 [10]

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

Lydia is at a coffee shop and knows  she can spend no more than $65

before tax. She sees this price list in  the coffee shop.

Dark Roast Coffee    $7.50

Pumpkin Spice Coffee   $10.50

Breakfast Tea   $23.50

if Lydia buys 1/2 pound of the Breakfast Tea and 2 pounds of the Dark Roast coffee, how many 1- pound bags of Pumpkin Spice coffee can she buy?

Given Information:

Shopping Budge = $65

Price of   Dark Roast Coffee = $7.50

Price of Pumpkin Spice Coffee  = $10.50

Price of  Breakfast Tea  = $23.50

Amount of Breakfast Tea required = 1/2 pound

Amount of Dark Roast coffee required = 2 pounds

Required Information:

How many 1-pound  Pumpkin Spice Coffee can she buy = ?

Answer:

n = 3 bags of 1-pound Pumpkin Spice Coffee

Step-by-step explanation:

We are given that the amount of Breakfast Tea required is 1/2 pound so the cost of Breakfast Tea is

Cost of Breakfast Tea = 1/2*23.50 = $11.75

We are also given that the amount of Dark Roast coffee required is 2 pounds so the cost of Dark Roast coffee is

Cost of Dark Roast coffee = 2*7.50

Cost of Dark Roast coffee = $15

We know that total Lydia's total budget is $65

11.75 + 15 + 10.50x = 65

Where x represents the amount of Pumpkin Spice coffee required

10.50x = 65 - 11.75 - 15

10.50x = 38.75

x = 3.64 pounds

That means Lydia can buy 3.64 pounds of Pumpkin Spice coffee.

Now assuming that the Pumpkin Spice coffee is sold only in 1-pound bags then the required number of bags that Lydia can buy is

n = 3.64 pound/1-pound

n = 3.64

Since bags cannot be in fraction so

n = 3 bags

Note: we can not round off to 4 bags since that would surpass the given budged.

7 0
3 years ago
Other questions:
  • An online store randomly samples three groups of 100 customers on which delivery method they use. The data shows the results of
    13·2 answers
  • The perimeter of a regular hexagon is 42a + 18.
    13·1 answer
  • Rationalize the denominator of square root of negative 16 over open parentheses 1 plus i close parentheses plus open parentheses
    13·1 answer
  • What additional information is necessary to prove that SILY is a parallelogram
    11·1 answer
  • -2y+6=-12 what is the y
    11·2 answers
  • Will mark brainliest
    6·1 answer
  • BRAINLIEST IF CORRECT<br> In arithmetic, variables look like ___.
    15·1 answer
  • Please help :)))))))))))
    12·2 answers
  • You spend $30.40 on 4 cds. each cd costs the same amount and is on sale for 80% of the original price. write and solve an equati
    5·1 answer
  • I NEED PLEASE ASAP !
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!